How Long Did It Take to Build Brightvale Castle?

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Homework Help Overview

The problem involves determining the total construction time for Brightvale Castle, based on a schedule that divides the work into fractions of the total time and specific days for certain tasks. The subject area relates to algebraic reasoning and problem-solving in a mathematical context.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • One participant attempts to set up an equation representing the total construction time, T, by summing the fractions of T for different tasks and adding specific days for others. Another participant expresses confusion about the problem and seeks assistance, indicating a need for clarification on the setup.

Discussion Status

The discussion includes attempts to formulate the problem mathematically, with at least one equation proposed. There is no clear consensus on the solution, and some participants express confusion or frustration regarding the problem's complexity.

Contextual Notes

Participants have noted that the problem is challenging, and there are concerns about potential duplicate posts, which may indicate a lack of clarity in the discussion or the problem itself.

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Can someone help me with this hard problem?

Ok... here is a hard problem that I can not figure out!(These are all made up names!) :cry:

When King Hagan commissioned Brightvale Castle to be built, he had every worker in Brightvale to help build it, so that it would be done as quickly as possible.

The construction schedule went as follows: The foundations took exactly 1/6 of the total construction time. The walls took up the next 1/12 of the construction time. The roof was completed over the next 1/7 of the total construction time. Over the next five days, the windows and doors were placed in the castle. The workers spent half of the construction time building the floors after that was done. After that was done, the next four days were spent digging the moat.

How many days total were spent building the castle? :confused:
 
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As i see it

[tex]T = \frac{1}{6}T + \frac{1}{12}T +\frac{1}{7}T +5 + \frac{1}{2}T + 4[/tex]

where T is the construction time.
 
Can someone help me with this really hard math puzzle?

:confused: Ok... here is a hard problem that I can not figure out!(These are all made up names!)

When King Hagan commissioned Brightvale Castle to be built, he had every worker in Brightvale to help build it, so that it would be done as quickly as possible.

The construction schedule went as follows: The foundations took exactly 1/6 of the total construction time. The walls took up the next 1/12 of the construction time. The roof was completed over the next 1/7 of the total construction time. Over the next five days, the windows and doors were placed in the castle. The workers spent half of the construction time building the floors after that was done. After that was done, the next four days were spent digging the moat.

How many days total were spent building the castle?
 
What's wrong? and please do not spam...
 
The answer has been provided, there is no need to double post or double post a new thread.
 
Sorry...it was by accident.. :frown:
 
Sorry, nevermind.
 

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